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Finding the Fourth Proportional to 53,908.70, 80,863.05 and 24,359.90

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Solution

The fourth proportional to 53,908.70, 80,863.05 and 24,359.90 is: 36,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,908.70 : 80,863.05 = 24,359.90 : x
  2. Step 2: Convert to fraction form
    53,908.70/80,863.05 = 24,359.90/x
  3. Step 3: Cross multiply
    53,908.70x = 80,863.05 × 24,359.90
  4. Step 4: Simplify right side
    53,908.70x = 1,969,815,811.70
  5. Step 5: Solve for x
    x = 1,969,815,811.70/53,908.70
  6. Step 6: Final answer
    x = 36,539.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.